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Synchronization in scale-free dynamical networks: robustness and fragility

Open access
Xiao Fan Wang, Guanrong Chen·2002·IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Abstract

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions are in the power-law form. In this paper, we investigate the synchronization phenomenon in scale-free dynamical networks. We show that if the coupling strength of a scale-free dynamical network is greater than a positive threshold, then the network will synchronize no matter how large it is. We show that the synchronizability of a scale-free dynamical network is robust against random removal of nodes, but is fragile to specific removal of the most highly connected nodes.

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Metadata

Authors
Wang, X. F., & Chen, G.
Venue
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Published
2002
Volume
49
Issue
1
Pages
54-62
ISSN
1057-7122 (ISSN-L)
OpenAlex
W2117362627
Cited by
1,127
References
3
FWCI
22.76
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Synchronization in scale-free dynamical networks: robustness and fragility. https://app.cochat.ai/papers/10.1109/81.974874
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Wang, X. F., & Chen, G. (2002). Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/81.974874

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.